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Finding the Fourth Proportional to 5,114.71, 7,672.74 and 1,828.18

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Solution

The fourth proportional to 5,114.71, 7,672.74 and 1,828.18 is: 2,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.71 : 7,672.74 = 1,828.18 : x
  2. Step 2: Convert to fraction form
    5,114.71/7,672.74 = 1,828.18/x
  3. Step 3: Cross multiply
    5,114.71x = 7,672.74 × 1,828.18
  4. Step 4: Simplify right side
    5,114.71x = 14,027,149.81
  5. Step 5: Solve for x
    x = 14,027,149.81/5,114.71
  6. Step 6: Final answer
    x = 2,742.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.